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Finding the Fourth Proportional to 5,144.72, 7,682.16 and 4,092.96

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Solution

The fourth proportional to 5,144.72, 7,682.16 and 4,092.96 is: 6,111.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144.72 : 7,682.16 = 4,092.96 : x
  2. Step 2: Convert to fraction form
    5,144.72/7,682.16 = 4,092.96/x
  3. Step 3: Cross multiply
    5,144.72x = 7,682.16 × 4,092.96
  4. Step 4: Simplify right side
    5,144.72x = 31,442,773.59
  5. Step 5: Solve for x
    x = 31,442,773.59/5,144.72
  6. Step 6: Final answer
    x = 6,111.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.